0000000000098332

AUTHOR

C. Rebelo

showing 2 related works from this author

Multiplicity of solutions of Dirichlet problems associated with second-order equations in ℝ2

2009

AbstractWe study the existence of multiple solutions for a two-point boundary-value problem associated with a planar system of second-order ordinary differential equations by using a shooting technique. We consider asymptotically linear nonlinearities satisfying suitable sign conditions. Multiplicity is ensured by assumptions involving the Morse indices of the linearizations at zero and at infinity.

General MathematicsDirichlet L-functionasymptotically linear multiplicity second order planar systems Morse indexDirichlet's energyDirichlet integralsymbols.namesakeDirichlet eigenvalueSettore MAT/05 - Analisi MatematicaDirichlet's principleOrdinary differential equationDirichlet boundary conditionsymbolsApplied mathematicsGeneral Dirichlet seriesMathematics
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Poincar é-Birkhoff fixed point theorem and periodic solutions of asymptotically linear planar Hamiltonian systems. (Turin Fortnight Lectures on Nonli…

2002

Poincaré-Birkhoff theorem historical remarks multiplicity results
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